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In architecture, the slenderness ratio, or simply slenderness, is an aspect ratio, the quotient between the height and the width of a building. In structural engineering , slenderness is used to calculate the propensity of a column to buckle .
Fig. 1: Critical stress vs slenderness ratio for steel, for E = 200 GPa, yield strength = 240 MPa.. Euler's critical load or Euler's buckling load is the compressive load at which a slender column will suddenly bend or buckle.
The ratio of the effective length of a column to the least radius of gyration of its cross section is called the slenderness ratio (sometimes expressed with the Greek letter lambda, λ). This ratio affords a means of classifying columns and their failure mode. The slenderness ratio is important for design considerations.
The slenderness ratio is an indicator of the specimen's resistance to bending and buckling, due to its length and cross section. If the slenderness ratio is less than the critical slenderness ratio, the column is considered to be a short column. In these cases, the Johnson parabola is more applicable than the Euler formula. [5]
The slenderness ratio of a wall is defined as a function of the effective height divided by either the effective thickness or the radius of the gyration of the wall section. It is highly related to the slenderness limit that is the cut-off between elements being classed "slender" or "stocky".
It slenderness ratio of 16.5:1 was the fourth most slender tower in the world at the time of completion. Collins House incorporated many of advancements in technology including the first of such towers to use prefabrication of 3D structural elements to help navigate narrow project site.
Recent developments concern embankments with reduced foot-print (slenderness ratio higher than 1), [7] or associating different structural components or fills for improving the global structure impact strength and/or energy dissipative capacities. [8]
As detailed in the article on buckling, the slenderness of a compression member, which is defined as the ratio of its effective length to its radius of gyration (= /), has a critical role in determining its strength and behavior with axial loading: [2]